Catalysts speed up reactions by decreasing activation energy, but they do not alter the enthalpy change (∆H) of the reaction




A positive catalyst increases the reaction rate by lowering the activation energy. Activation energy is the minimum energy required for reactants to form products. In the given diagrams:
Thus, the correct diagram representing a positive catalyst is option (3)
The colour of the solution observed after about 1 hour of placing iron nails in copper sulphate solution is:
Which one of the following graphs accurately represents the plot of partial pressure of CS₂ vs its mole fraction in a mixture of acetone and CS₂ at constant temperature?

Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.